Home / 6,144-9,600

Finding the Third Proportional to 6,144 and 9,600

Calculator

Solution

The third proportional to 6,144 and 9,600 is: 15,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 9,600 = 9,600 : x
  2. Step 2: Convert to fraction form
    6,144/9,600 = 9,600/x
  3. Step 3: Cross multiply
    6,144x = 9,600 × 9,600
  4. Step 4: Simplify right side
    6,144x = 92,160,000
  5. Step 5: Solve for x
    x = 92,160,000/6,144
  6. Step 6: Final answer
    x = 15,000

Related Problems

Find third proportional to 3,072 and 4,800
Half scale
Find third proportional to 12,288 and 19,200
Double scale
Find third proportional to 6,146 and 9,603
Similar ratio
Find third proportional to 9,216 and 14,400
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.